There are 15 patients in Dr.Ziglar's waiting room.Dr.Ziglar can see 6 patients before lunch.In how many different orders can Dr.Ziglar see 6 of the patients before lunch?
A)90
B)6
C)1,816,214,400
D)3,603,600
E)5,005

Question

Quizplus · Accepted Answer

The number of ways to choose 6 patients out of 15 is given by the combination formula: C(15,6) = 5005. However, the order in which the patients are seen matters, so we need to find the number of permutations of 6 patients taken from a group of 15. This is given by the formula: P(15,6) = 15!/(15-6)! = 15!/9! = 3,603,600. Therefore, the answer is D.

There Are 15 Patients in Dr